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C --------------------------------------------------------------------
C SUNDIALS Copyright Start
C Copyright (c) 2002-2022, Lawrence Livermore National Security
C and Southern Methodist University.
C All rights reserved.
C
C See the top-level LICENSE and NOTICE files for details.
C
C SPDX-License-Identifier: BSD-3-Clause
C SUNDIALS Copyright End
C --------------------------------------------------------------------
C Diagonal ODE example. Stiff case, with diagonal preconditioner.
C Uses FCVODE interfaces and FCVBBD interfaces.
C Solves problem twice -- with left and right preconditioning.
C --------------------------------------------------------------------
C
C Include MPI-Fortran header file for MPI_COMM_WORLD, MPI types.
IMPLICIT NONE
C
INCLUDE "mpif.h"
C
C The following declaration specification should match C type long int.
INTEGER*8 NLOCAL, NEQ, I, IOUT(25), IPAR(2), MUDQ, MLDQ, MU, ML
PARAMETER (NLOCAL=10)
C
INTEGER*4 NOUT, LNST, LNFE, LNSETUP, LNNI, LNCF, LNETF, LNPE
INTEGER*4 LNLI, LNPS, LNCFL, MYPE, IER, NPES, METH
INTEGER*4 LLENRW, LLENIW, LLENRWLS, LLENIWLS
INTEGER*4 IATOL, ITASK, IPRE, IGS, JOUT
C The following declaration specification should match C type long int.
INTEGER*8 LENRWBBD, LENIWBBD, NGEBBD
INTEGER*8 NST, NFE, NPSET, NPE, NPS, NNI, NLI, NCFN, NCFL, NETF
INTEGER*8 LENRW, LENIW, LENRWLS, LENIWLS
DOUBLE PRECISION Y(1024), ROUT(10), RPAR(1)
DOUBLE PRECISION ALPHA, TOUT, ERMAX, AVDIM
DOUBLE PRECISION ATOL, ERRI, RTOL, GERMAX, DTOUT, T
C
DATA ATOL/1.0D-10/, RTOL/1.0D-5/, DTOUT/0.1D0/, NOUT/10/
DATA LLENRW/1/, LLENIW/2/, LNST/3/, LNFE/4/, LNETF/5/, LNCF/6/,
1 LNNI/7/, LNSETUP/8/, LLENRWLS/13/, LLENIWLS/14/,
1 LNPE/20/, LNLI/22/, LNPS/21/, LNCFL/23/
C
C Get NPES and MYPE. Requires initialization of MPI.
CALL MPI_INIT(IER)
IF (IER .NE. 0) THEN
WRITE(6,5) IER
5 FORMAT(///' MPI_ERROR: MPI_INIT returned IER = ', I5)
STOP
ENDIF
CALL MPI_COMM_SIZE(MPI_COMM_WORLD, NPES, IER)
IF (IER .NE. 0) THEN
WRITE(6,6) IER
6 FORMAT(///' MPI_ERROR: MPI_COMM_SIZE returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
CALL MPI_COMM_RANK(MPI_COMM_WORLD, MYPE, IER)
IF (IER .NE. 0) THEN
WRITE(6,7) IER
7 FORMAT(///' MPI_ERROR: MPI_COMM_RANK returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
C Set input arguments.
NEQ = NPES * NLOCAL
T = 0.0D0
METH = 2
IATOL = 1
ITASK = 1
IPRE = 1
IGS = 1
C Set parameter alpha
ALPHA = 10.0D0
C
C Load IPAR and RPAR
IPAR(1) = NLOCAL
IPAR(2) = MYPE
RPAR(1) = ALPHA
C
DO I = 1, NLOCAL
Y(I) = 1.0D0
ENDDO
C
IF (MYPE .EQ. 0) THEN
WRITE(6,15) NEQ, ALPHA, RTOL, ATOL, NPES
15 FORMAT('Diagonal test problem:'//' NEQ = ', I3, /
& ' parameter alpha = ', F8.3/
& ' ydot_i = -alpha*i * y_i (i = 1,...,NEQ)'/
& ' RTOL, ATOL = ', 2E10.1/
& ' Method is BDF/NEWTON/SPGMR'/
& ' Preconditioner is band-block-diagonal, using CVBBDPRE'
& /' Number of processors = ', I3/)
ENDIF
C
CALL FNVINITP(MPI_COMM_WORLD, 1, NLOCAL, NEQ, IER)
C
IF (IER .NE. 0) THEN
WRITE(6,20) IER
20 FORMAT(///' SUNDIALS_ERROR: FNVINITP returned IER = ', I5)
CALL MPI_FINALIZE(IER)
STOP
ENDIF
C
C initialize SPGMR linear solver module
call FSUNSPGMRINIT(1, IPRE, 0, IER)
IF (IER .NE. 0) THEN
WRITE(6,25) IER
25 FORMAT(///' SUNDIALS_ERROR: FSUNSPGMRINIT IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
call FSUNSPGMRSETGSTYPE(1, IGS, IER)
IF (IER .NE. 0) THEN
WRITE(6,27) IER
27 FORMAT(///' SUNDIALS_ERROR: FSUNSPGMRSETGSTYPE IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
CALL FCVMALLOC(T, Y, METH, IATOL, RTOL, ATOL,
& IOUT, ROUT, IPAR, RPAR, IER)
C
IF (IER .NE. 0) THEN
WRITE(6,30) IER
30 FORMAT(///' SUNDIALS_ERROR: FCVMALLOC returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
C attach linear solver module to CVLs interface
CALL FCVLSINIT(IER)
IF (IER .NE. 0) THEN
WRITE(6,32) IER
32 FORMAT(///' SUNDIALS_ERROR: FCVLSINIT returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
MUDQ = 0
MLDQ = 0
MU = 0
ML = 0
CALL FCVBBDINIT(NLOCAL, MUDQ, MLDQ, MU, ML, 0.0D0, IER)
IF (IER .NE. 0) THEN
WRITE(6,35) IER
35 FORMAT(///' SUNDIALS_ERROR: FCVBBDINIT returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
IF (MYPE .EQ. 0) WRITE(6,38)
38 FORMAT(/'Preconditioning on left'/)
C
C Looping point for cases IPRE = 1 and 2.
C
40 CONTINUE
C
C Loop through tout values, call solver, print output, test for failure.
TOUT = DTOUT
DO 60 JOUT = 1, NOUT
C
CALL FCVODE(TOUT, T, Y, ITASK, IER)
C
IF (MYPE .EQ. 0) WRITE(6,45) T, IOUT(LNST), IOUT(LNFE)
45 FORMAT(' t = ', E10.2, 5X, 'no. steps = ', I5,
& ' no. f-s = ', I5)
C
IF (IER .NE. 0) THEN
WRITE(6,50) IER, IOUT(15)
50 FORMAT(///' SUNDIALS_ERROR: FCVODE returned IER = ', I5, /,
& ' Linear Solver returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
TOUT = TOUT + DTOUT
60 CONTINUE
C
C Get max. absolute error in the local vector.
ERMAX = 0.0D0
DO 65 I = 1, NLOCAL
ERRI = Y(I) - EXP(-ALPHA * (MYPE * NLOCAL + I) * T)
ERMAX = MAX(ERMAX, ABS(ERRI))
65 CONTINUE
C Get global max. error from MPI_REDUCE call.
CALL MPI_REDUCE(ERMAX, GERMAX, 1, MPI_DOUBLE_PRECISION, MPI_MAX,
& 0, MPI_COMM_WORLD, IER)
IF (IER .NE. 0) THEN
WRITE(6,70) IER
70 FORMAT(///' MPI_ERROR: MPI_REDUCE returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
IF (MYPE .EQ. 0) WRITE(6,75) GERMAX
75 FORMAT(/'Max. absolute error is', E10.2/)
C
C Print final statistics.
IF (MYPE .EQ. 0) THEN
NST = IOUT(LNST)
NFE = IOUT(LNFE)
NPSET = IOUT(LNSETUP)
NPE = IOUT(LNPE)
NPS = IOUT(LNPS)
NNI = IOUT(LNNI)
NLI = IOUT(LNLI)
AVDIM = DBLE(NLI) / DBLE(NNI)
NCFN = IOUT(LNCF)
NCFL = IOUT(LNCFL)
NETF = IOUT(LNETF)
LENRW = IOUT(LLENRW)
LENIW = IOUT(LLENIW)
LENRWLS = IOUT(LLENRWLS)
LENIWLS = IOUT(LLENIWLS)
WRITE(6,80) NST, NFE, NPSET, NPE, NPS, NNI, NLI, AVDIM, NCFN,
& NCFL, NETF, LENRW, LENIW, LENRWLS, LENIWLS
80 FORMAT(/'Final statistics:'//
& ' number of steps = ', I5, 4X,
& ' number of f evals. = ', I5/
& ' number of prec. setups = ', I5/
& ' number of prec. evals. = ', I5, 4X,
& ' number of prec. solves = ', I5/
& ' number of nonl. iters. = ', I5, 4X,
& ' number of lin. iters. = ', I5/
& ' average Krylov subspace dimension (NLI/NNI) = ',F8.4/
& ' number of conv. failures.. nonlinear = ', I3,
& ' linear = ', I3/
& ' number of error test failures = ', I3/
& ' main solver real/int workspace sizes = ',2I5/
& ' linear solver real/int workspace sizes = ',2I5)
CALL FCVBBDOPT(LENRWBBD, LENIWBBD, NGEBBD)
WRITE(6,82) LENRWBBD, LENIWBBD, NGEBBD
82 FORMAT('In CVBBDPRE:'/
& ' real/int local workspace = ', 2I5/
& ' number of g evals. = ', I5)
ENDIF
C
C If IPRE = 1, re-initialize T, Y, and the solver, and loop for
C case IPRE = 2. Otherwise jump to final block.
IF (IPRE .EQ. 2) GO TO 99
C
T = 0.0D0
DO I = 1, NLOCAL
Y(I) = 1.0D0
ENDDO
C
CALL FCVREINIT(T, Y, IATOL, RTOL, ATOL, IER)
IF (IER .NE. 0) THEN
WRITE(6,91) IER
91 FORMAT(///' SUNDIALS_ERROR: FCVREINIT returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
IPRE = 2
C
CALL FCVBBDREINIT(MUDQ, MLDQ, 0.0D0, IER)
IF (IER .NE. 0) THEN
WRITE(6,92) IER
92 FORMAT(///' SUNDIALS_ERROR: FCVBBDREINIT returned IER = ', I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
CALL FSUNSPGMRSETPRECTYPE(1, IPRE, IER)
IF (IER .NE. 0) THEN
WRITE(6,93) IER
93 FORMAT(///' SUNDIALS_ERROR: FSUNSPGMRSETPRECTYPE IER = ',I5)
CALL MPI_ABORT(MPI_COMM_WORLD, 1, IER)
STOP
ENDIF
C
IF (MYPE .EQ. 0) WRITE(6,95)
95 FORMAT(//60('-')///'Preconditioning on right'/)
GO TO 40
C
C Free the memory and finalize MPI.
99 CALL FCVFREE
CALL MPI_FINALIZE(IER)
C
STOP
END
C
C ------------------------------------------------------------------------
C
SUBROUTINE FCVFUN(T, Y, YDOT, IPAR, RPAR, IER)
C Routine for right-hand side function f
IMPLICIT NONE
C
C The following declaration specification should match C type long int.
INTEGER*8 IPAR(*), MYPE, I, NLOCAL
INTEGER*4 IER
DOUBLE PRECISION T, Y(*), YDOT(*), RPAR(*)
DOUBLE PRECISION ALPHA
C
NLOCAL = IPAR(1)
MYPE = IPAR(2)
ALPHA = RPAR(1)
C
DO I = 1, NLOCAL
YDOT(I) = -ALPHA * (MYPE * NLOCAL + I) * Y(I)
ENDDO
C
IER = 0
C
RETURN
END
C
C ------------------------------------------------------------------------
C
SUBROUTINE FCVGLOCFN(NLOC, T, YLOC, GLOC, IPAR, RPAR, IER)
C Routine to define local approximate function g, here the same as f.
IMPLICIT NONE
C
C The following declaration specification should match C type long int.
INTEGER*8 NLOC, IPAR(*)
INTEGER*4 IER
DOUBLE PRECISION T, YLOC(*), GLOC(*), RPAR(*)
C
CALL FCVFUN(T, YLOC, GLOC, IPAR, RPAR, IER)
C
RETURN
END
C
C ------------------------------------------------------------------------
C
SUBROUTINE FCVCOMMFN(NLOC, T, YLOC, IPAR, RPAR, IER)
C Routine to perform communication required for evaluation of g.
INTEGER*8 NLOC, IPAR(*)
INTEGER*4 IER
DOUBLE PRECISION T, YLOC(*), RPAR(*)
IER = 0
RETURN
END
|
